Uniqueness of Gauge Covariant Renormalisation of Stochastic 3D Yang-Mills-Higgs [0.03%]
规范协变的 stochastic 3D Yang-Mills-Higgs 重正化的唯一性
Ilya Chevyrev,Hao Shen
Ilya Chevyrev
Local solutions to the 3D stochastic quantisation equations of Yang-Mills-Higgs were constructed in Chandra (Invent Math 237:541-696, 2024), and it was shown that, in the limit of smooth mollifications, there exists a mass renormalisation o...
Sharp Conditions for the BBM Formula and Asymptotics of Heat Content-Type Energies [0.03%]
BBM公式下的尖锐条件及热量内容型能量的渐近性态
Luca Gennaioli,Giorgio Stefani
Luca Gennaioli
Given p ∈ [ 1 , ∞ ) , we provide sufficient and necessary conditions on the non-negative measurable kernels ( ρ t ) t ∈ ( 0 , 1 ) ensuring convergence of the associated Bourgain-Brezis-Mironescu (BBM) energies ( ...
Fluctuations Around the Mean-Field Limit for Attractive Riesz Potentials in the Moderate Regime [0.03%]
吸引里茨势在中等情形下的平均场极限波动性質研究
Li Chen,Alexandra Holzinger,Ansgar Jüngel
Li Chen
A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-Coulomb type. It is proven that the fluctuations become asym...
Alberto Maspero,Federico Murgante
Alberto Maspero
We consider the problem of transfer of energy to high frequencies in a quasilinear Schrödinger equation with sublinear dispersion, on the one dimensional torus. We exhibit initial data undergoing finite but arbitrary large Sobolev norm exp...
Leonid Berlyand,C Alex Safsten,Lev Truskinovsky
Leonid Berlyand
Contraction-driven self-propulsion of a large class of living cells can be modeled by a Keller-Segel system with free boundaries. The ensuing "active" system, exhibiting both dissipation and anti-dissipation, features stationary and traveli...
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes [0.03%]
扩充的散度测度场、Gauss-Green公式及Cauchy流
Gui-Qiang G Chen,Christopher Irving,Monica Torres
Gui-Qiang G Chen
We establish the Gauss-Green formula for extended divergence-measure fields (i.e., vector-valued measures whose distributional divergences are Radon measures) over open sets. We prove that, for almost every open set, the normal trace is a m...
Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones [0.03%]
稳态超音速流过带Lipschitz扰动锥体逆问题的稳定性
Gui-Qiang G Chen,Yun Pu,Yongqian Zhang
Gui-Qiang G Chen
We are concerned with inverse problems for supersonic potential flows past infinite axisymmetric Lipschitz cones. The supersonic flows under consideration are governed by the steady isentropic Euler equations for axisymmetric potential flow...
Manuel Del Pino,Monica Musso,Andres Zuniga
Manuel Del Pino
The liquid drop model was introduced by Gamow in 1928 and Bohr-Wheeler in 1938 to model atomic nuclei. The model describes the competition between the surface tension, which keeps the nuclei together, and the Coulomb force, corresponding to...
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D [0.03%]
一个尖锐的定量Alexandrov不等式及在三维保体积几何流中的应用
Vesa Julin,Massimiliano Morini,Francesca Oronzio et al.
Vesa Julin et al.
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this, we establish a 3D sharp quantitative version of the Alexandrov inequality for C 2 -re...
First Order Expansion in the Semiclassical Limit of the Levy-Lieb Functional [0.03%]
semiclassic极限下Levy-Lieb泛函的一阶展开式
Maria Colombo,Simone Di Marino,Federico Stra
Maria Colombo
We prove the conjectured first order expansion of the Levy-Lieb functional in the semiclassical limit, arising from Density Functional Theory (DFT). In particular, we prove a general asymptotic first order lower bound in terms of the zero p...